Another reason why a linear combination of components may not be suitable in the definition of a well-being measure is that it will simply induce maximizing the terms with positive weights and minimizing terms with negative ones, without allowing a balance. For example, if interactions between drastically opposite opinions are considered negative because of possible backfire effects and flames [1]}, and interactions between excessively similar opinion are also considered negative because of the echo chambers they may give place, then also interactions between moderately different opinions will have a negative value even when they may lead to a reduced polarization because these interactions may be expressed by a linear combination of the previous two cases.
Indeed, in many cases, a wise formulation of the terms may avoid this type of issues, however the interplay between terms of different semantic or belonging to different users highly increases the difficulty of creating a useful and general CWB measure.
